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Finding the Fourth Proportional to 257,515.36, 386,358 and 99,744.64

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Solution

The fourth proportional to 257,515.36, 386,358 and 99,744.64 is: 149,649.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,515.36 : 386,358 = 99,744.64 : x
  2. Step 2: Convert to fraction form
    257,515.36/386,358 = 99,744.64/x
  3. Step 3: Cross multiply
    257,515.36x = 386,358 × 99,744.64
  4. Step 4: Simplify right side
    257,515.36x = 38,537,139,621.12
  5. Step 5: Solve for x
    x = 38,537,139,621.12/257,515.36
  6. Step 6: Final answer
    x = 149,649.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.